Pythagorean: PM2 2*ln(3) * 12/ln(2) = 38.039100 -> +160 PM3 4*ln(3) * 12/ln(2) = 76.078200 -> +320 P+4 6*ln(3) * 12/ln(2) = 114.117300 -> +480 P5 ln(3) * 12/ln(2) = 19.019550 -> + 80 (80.08) PM6 3*ln(3) * 12/ln(2) = 57.058650 -> +240 PM7 5*ln(3) * 12/ln(2) = 95.097750 -> +400 Just: M2 ln(5/9) * 12/ln(2) = -10.175963 -> -721 M3 ln(5) * 12/ln(2) = 27.863137 -> -561 (-560.59) +4 ln(5*9) * 12/ln(2) = 65.902237 -> -400 M6 ln(5/3) * 12/ln(2) = 8.843587 -> -641 M7 ln(5*3) * 12/ln(2) = 46.882687 -> -481 nudge ln(81/5) * 12/ln(2) = 48.215063 -> +881 (880.90) Svan: sm2 ln(3**7/125)*12/ln(2) = 49.547439 -> +2242 M2 sm3 ln(3**5/25)* 12/ln(2) = 39.371476 -> +1521 sM3 2*ln(5/9) * 12/ln(2) = -20.351926 -> -1441 sP4 ln(27/5) * 12/ln(2) = 29.195513 -> + 801 s+4 3*ln(5/9) * 12/ln(2) = -30.527889 -> -2162 s-5 ln(9**5/5**4)*12/ln(2)= 78.742952 -> +3043 P5 sm6 ln(9**4/125)*12/ln(2) = 68.566989 -> +2322 M6 sm7 ln(9**3/25)* 12/ln(2) = 58.391026 -> +1602 sM7 ln(25/27)* 12/ln(2) = -1.332376 -> -1361 sP8 ln(81/5) * 12/ln(2) = 48.215063 -> + 881 ln(256/243) / ln(81/80) = 4.2 nudges per Pythagorean half-step ln(2)/12 / ln(81/80) = 4.6 nudges per equal-tempered half-step ln(9/8)/2 / ln(81/80) = 4.7 nudges per Pythagorean half whole-step ln(16/15) / ln(81/80) = 5.2 nudges per just-tuned half-step ln(2187/2000)/ln(81/80) = 7.2 nudges per Svan-tuned half-step Dropping rounded fractions for equal spacing: Pyth/just Svan ----Svan scale---- A 0 C + 881 0 A G +1602 +2323 F G# +400/-481 B -1362 -2243 G# F# - 641 + 80 E G -160/+721 Bb +1602 + 721 G F +2323 +3044 Eb F# +240/-641 A - 641 -1522 F# E + 80 + 801 D F -320/+561 Ab +2323 +1422 F D# -2163 -1442 C# E +80 G + 80 - 801 E# D - 801 - 80 C Eb -480/+401 Gb +3044 +2163 Eb C# -1442 - 721 B D# +480/-401 F# -2163 -3044 D# C +1522 +2243 Bb D -80 F + 801 - 80 D B - 721 0 A C# +320/-561 E -1442 -2323 C# Bb +2243 +2964 Ab C -240/+641 Eb +1522 + 641 C A 0 + 721 G B +160/-721 D - 721 -1602 B G + 721 +1442 F Bb -400/+481 Db +2243 +1362 Bb F +1442 +2163 Eb A 0 C 0 - 881 A E - 801 - 80 D